A chord of a circle of radius $14 \mathrm{cm}$ subtends an angle of $60$ at the centre. Find the area of the corresponding minor segment of the circle. $\left[\text{Use} \mathrm{\pi }=\frac{22}{7} \text{and} \sqrt{3}=1.73\right]$

In a circle of radius $21 \mathrm{cm}$, an arc subtends an angle of $60°$ at the centre. Find the length of the arc.

In a circle of radius $21 \mathrm{cm}$, an arc subtends an angle of $60°$ at the centre. Find the area of the sector formed by the arc.

In a circle of radius $21 \mathrm{cm}$, an arc subtends an angle of $60°$ at the centre. Find area of the segment formed by the corresponding chord.

In the adjoining figure, the breadth of the rectangle is $14 \mathrm{cm}$. Find the area of the shaded region.

Two circular pieces of equal radii and maximum area, touching each other are cut out from a rectangular card board of dimensions $14 \mathrm{cm} \times 7 \mathrm{cm}$. Find the area of the remaining cardboard. 

$[$Use $\mathrm{\pi }=\frac{22}{7}]$

In the figure given below, $ABCD$ is a rectangle of dimensions $21 \mathrm{cm} \times 14 \mathrm{cm}$. A semicircle is drawn with $BC$ as diameter. Find the area and the perimeter of the shaded region.